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Process Control: Modeling, Design, and Simulation by B. Wayne Bequette

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3.13. MATLAB and SIMULINK

MATLAB and SIMULINK are ideal for analyzing and simulating dynamic behavior. The Control Toolbox uses LTI (linear, time invariant) objects to represent dynamic models. These objects can be state space or transfer function models; details on how to use these are presented in Module 4.

Here we first present some useful MATLAB functions not covered in other modules.

conv (Convolution) and roots

Often it is necessary to multiply polynomials in s together. Although the following multiplication is quite simple: (5s + 1)(3s + 1) = 15s2 + 8s + 1, a more complex multiplication, such as (2s2 + 1.5s + 1)(3s3 + 8s2 + 4s + 1) could be quite time consuming. The following conv (convolve) command makes this straightforward. Also, the ...

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